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13835316 = 22311281373
BaseRepresentation
bin110100110001…
…110000110100
3222000220111010
4310301300310
512020212231
61212312220
7225412125
oct64616064
928026433
1013835316
11789a750
124772670
132b354a1
141ba204c
151334546
hexd31c34

13835316 has 48 divisors (see below), whose sum is σ = 35437248. Its totient is φ = 4166400.

The previous prime is 13835309. The next prime is 13835321. The reversal of 13835316 is 61353831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36906 + ... + 37278.

It is an arithmetic number, because the mean of its divisors is an integer number (738276).

Almost surely, 213835316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13835316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17718624).

13835316 is an abundant number, since it is smaller than the sum of its proper divisors (21601932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13835316 is a wasteful number, since it uses less digits than its factorization.

13835316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 670 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 13835316 is about 3719.5854607738. The cubic root of 13835316 is about 240.0654682508.

The spelling of 13835316 in words is "thirteen million, eight hundred thirty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 281 373 562 746 843 1119 1124 1492 1686 2238 3091 3372 4103 4476 6182 8206 9273 12309 12364 16412 18546 24618 37092 49236 104813 209626 314439 419252 628878 1152943 1257756 2305886 3458829 4611772 6917658 13835316